Fluid Limit for Cumulative Idle Time in Multiphase Queues

نویسندگان

  • Saulius Minkevičius
  • Vladimiras Dolgopolovas
  • S. Minkevičius
  • V. Dolgopolovas
چکیده

Abstract: The object of this research in the queueing theory is the FunctionalStrong-Law-ofLarge-Numbers (FSLLN) under the conditions of heavy traffic in Multiphase Queueing Systems (MQS). A FSLLN is known as fluid limit or fluid approximation. In this paper, the FSLLN is proved for values of important probabilistic characteristics of the MQS investigated as well as the summary queue length of customers and the queue length of customers.

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تاریخ انتشار 2014